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Finding the Fourth Proportional to 105,598.53, 145,725.14 and 57,199.41

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Solution

The fourth proportional to 105,598.53, 145,725.14 and 57,199.41 is: 78,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,598.53 : 145,725.14 = 57,199.41 : x
  2. Step 2: Convert to fraction form
    105,598.53/145,725.14 = 57,199.41/x
  3. Step 3: Cross multiply
    105,598.53x = 145,725.14 × 57,199.41
  4. Step 4: Simplify right side
    105,598.53x = 8,335,392,173.17
  5. Step 5: Solve for x
    x = 8,335,392,173.17/105,598.53
  6. Step 6: Final answer
    x = 78,934.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.